Analytical treatment of the oscillating Yukawa potential

H. Bahlouli; M. S. Abdelmonem; S. M. Al-Marzoug

doi:10.1016/j.chemphys.2011.12.002

Analytical treatment of the oscillating Yukawa potential

H. Bahlouli
, M. S. Abdelmonem
, S. M. Al-Marzoug^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with a complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature for the cosine-like Yukawa potential.

Original language	English
Pages (from-to)	153-156
Number of pages	4
Journal	Chemical Physics
Volume	393
Issue number	1
DOIs	https://doi.org/10.1016/j.chemphys.2011.12.002
State	Published - 17 Jan 2012

Bibliographical note

Funding Information:
The authors acknowledge the support provided by the Physics department at King Fahd University of Petroleum & Minerals under research Grant RG1109-1-2 and the Saudi Center for Theoretical Physics (SCTP).

Keywords

Bound states
Complex scaling
Exponential-cosine-screened Coulomb potential
J-matrix
Resonances
Yukawa potential

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1016/j.chemphys.2011.12.002

Cite this

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title = "Analytical treatment of the oscillating Yukawa potential",

abstract = "Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with a complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature for the cosine-like Yukawa potential.",

keywords = "Bound states, Complex scaling, Exponential-cosine-screened Coulomb potential, J-matrix, Resonances, Yukawa potential",

author = "H. Bahlouli and Abdelmonem, \{M. S.\} and Al-Marzoug, \{S. M.\}",

note = "Funding Information: The authors acknowledge the support provided by the Physics department at King Fahd University of Petroleum \& Minerals under research Grant RG1109-1-2 and the Saudi Center for Theoretical Physics (SCTP).",

year = "2012",

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day = "17",

doi = "10.1016/j.chemphys.2011.12.002",

language = "English",

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T1 - Analytical treatment of the oscillating Yukawa potential

AU - Bahlouli, H.

AU - Abdelmonem, M. S.

AU - Al-Marzoug, S. M.

N1 - Funding Information: The authors acknowledge the support provided by the Physics department at King Fahd University of Petroleum & Minerals under research Grant RG1109-1-2 and the Saudi Center for Theoretical Physics (SCTP).

PY - 2012/1/17

Y1 - 2012/1/17

N2 - Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with a complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature for the cosine-like Yukawa potential.

AB - Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of the generalized Yukawa potential with a complex screening parameter. This enabled us to treat analytically both the cosine and sine-like Yukawa potentials on equal footing and compute their bound states spectrum as the eigenvalues of the associated analytical matrix representing their Hamiltonians. Finally we used a carefully designed complex scaling method to evaluate the resonance energies and compared our results satisfactorily with those obtained in the literature for the cosine-like Yukawa potential.

KW - Bound states

KW - Complex scaling

KW - Exponential-cosine-screened Coulomb potential

KW - J-matrix

KW - Resonances

KW - Yukawa potential

UR - https://www.scopus.com/pages/publications/84855603862

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DO - 10.1016/j.chemphys.2011.12.002

M3 - Article

AN - SCOPUS:84855603862

SN - 0301-0104

VL - 393

SP - 153

EP - 156

JO - Chemical Physics

JF - Chemical Physics

IS - 1

ER -

Analytical treatment of the oscillating Yukawa potential

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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